Equation for Linear Storage or Linear Reservoir Calculator

✖Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.ⓘ Constant K [K]			+10% -10%
✖Outflow Rate for a given catchment area in any interval of time is the average volume of outgoing water in unit time.ⓘ Outflow Rate [Q]			+10% -10%

✖Total Storage in Channel Reach is a section of stream or river along which similar hydrologic conditions exist, such as discharge, depth, area, and slope.ⓘ Equation for Linear Storage or Linear Reservoir [S]

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Formula

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Equation for Linear Storage or Linear Reservoir

Formula

`"S" = "K"*"Q"`

Example

`"100m³"="4"*"25m³/s"`

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Equation for Linear Storage or Linear Reservoir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Storage in Channel Reach = Constant K*Outflow Rate
S = K*Q
This formula uses 3 Variables

Variables Used

Total Storage in Channel Reach - (Measured in Cubic Meter) - Total Storage in Channel Reach is a section of stream or river along which similar hydrologic conditions exist, such as discharge, depth, area, and slope.
Constant K - Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment.
Outflow Rate - (Measured in Cubic Meter per Second) - Outflow Rate for a given catchment area in any interval of time is the average volume of outgoing water in unit time.

STEP 1: Convert Input(s) to Base Unit

Constant K: 4 --> No Conversion Required
Outflow Rate: 25 Cubic Meter per Second --> 25 Cubic Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = K*Q --> 4*25

Evaluating ... ...

S = 100

STEP 3: Convert Result to Output's Unit

100 Cubic Meter --> No Conversion Required

FINAL ANSWER

100 Cubic Meter <-- Total Storage in Channel Reach

(Calculation completed in 00.004 seconds)

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< 7 Hydrologic Channel Routing Calculators

Storage in Beginning of Time Interval

Go Storage at the Beginning of Time Interval = Storage at the End of Time Interval-(Constant K*(Coefficient x in the Equation*(Inflow at the End of Time Interval-Inflow at the Beginning of Time Interval)+(1-Coefficient x in the Equation)*(Outflow at the End of Time Interval-Outflow at the Beginning of Time Interval)))

Storage during end of time interval in Muskingum method of Routing

Go Storage at the End of Time Interval = Constant K*(Coefficient x in the Equation*(Inflow at the End of Time Interval-Inflow at the Beginning of Time Interval)+(1-Coefficient x in the Equation)*(Outflow at the End of Time Interval-Outflow at the Beginning of Time Interval))+Storage at the Beginning of Time Interval

Storage during Beginning of Time Interval for Continuity Equation of Reach

Go Storage at the Beginning of Time Interval = Storage at the End of Time Interval+((Outflow at the End of Time Interval+Outflow at the Beginning of Time Interval)/2)*Time Interval-((Inflow at the End of Time Interval+Inflow at the Beginning of Time Interval)/2)*Time Interval

Storage during End of Time Interval in Continuity Equation for Reach

Go Storage at the End of Time Interval = ((Inflow at the End of Time Interval+Inflow at the Beginning of Time Interval)/2)*Time Interval-((Outflow at the End of Time Interval+Outflow at the Beginning of Time Interval)/2)*Time Interval+Storage at the Beginning of Time Interval

Total Wedge Storage in Channel Reach

Go Total Storage in Channel Reach = Constant K*(Coefficient x in the Equation*Inflow Rate^A Constant Exponent+(1-Coefficient x in the Equation)*Outflow Rate^A Constant Exponent)

Equation for Linear Storage or Linear Reservoir

Go Total Storage in Channel Reach = Constant K*Outflow Rate

Outflow given Linear Storage

Go Outflow Rate = Total Storage in Channel Reach/Constant K

Equation for Linear Storage or Linear Reservoir Formula

Total Storage in Channel Reach = Constant K*Outflow Rate
S = K*Q

What is Routing in Civil Engineering?

In Hydrology, Routing is a technique used to predict the changes in the shape of a hydrograph as water moves through a river channel or a reservoir. If the water flow at a particular point, A, in a stream is measured over time with a flow gauge, this information can be used to create a hydrograph.

What is Muskingum Routing?

The Muskingum routing procedure is used for systems that have Storage - Discharge relationships that are hysteretic. That is, for systems for which the outflow is not a unique function of storage.

How to Calculate Equation for Linear Storage or Linear Reservoir?

Equation for Linear Storage or Linear Reservoir calculator uses Total Storage in Channel Reach = Constant K*Outflow Rate to calculate the Total Storage in Channel Reach, The Equation for Linear Storage or Linear Reservoir formula is defined as the concept used to assess the overall retention capacity of the catchments in terms of both peak response and base model. Total Storage in Channel Reach is denoted by S symbol.

How to calculate Equation for Linear Storage or Linear Reservoir using this online calculator? To use this online calculator for Equation for Linear Storage or Linear Reservoir, enter Constant K (K) & Outflow Rate (Q) and hit the calculate button. Here is how the Equation for Linear Storage or Linear Reservoir calculation can be explained with given input values -> 2.75 = 4*25.

FAQ

What is Equation for Linear Storage or Linear Reservoir?

The Equation for Linear Storage or Linear Reservoir formula is defined as the concept used to assess the overall retention capacity of the catchments in terms of both peak response and base model and is represented as S = K*Q or Total Storage in Channel Reach = Constant K*Outflow Rate. Constant K is for the catchment to be determined by flood hydrograph characteristics of the catchment & Outflow Rate for a given catchment area in any interval of time is the average volume of outgoing water in unit time.

How to calculate Equation for Linear Storage or Linear Reservoir?

The Equation for Linear Storage or Linear Reservoir formula is defined as the concept used to assess the overall retention capacity of the catchments in terms of both peak response and base model is calculated using Total Storage in Channel Reach = Constant K*Outflow Rate. To calculate Equation for Linear Storage or Linear Reservoir, you need Constant K (K) & Outflow Rate (Q). With our tool, you need to enter the respective value for Constant K & Outflow Rate and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Storage in Channel Reach?

In this formula, Total Storage in Channel Reach uses Constant K & Outflow Rate. We can use 1 other way(s) to calculate the same, which is/are as follows -

Total Storage in Channel Reach = Constant K*(Coefficient x in the Equation*Inflow Rate^A Constant Exponent+(1-Coefficient x in the Equation)*Outflow Rate^A Constant Exponent)

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